Dissertations, Theses, and Capstone Projects

Date of Degree

9-2024

Document Type

Dissertation

Degree Name

Ph.D.

Program

Physics

Advisor

Pouyan Ghaemi

Committee Members

Mohammad Ali Miri

Sriram Ganeshan

So Takei

Shiva Heidari

Subject Categories

Condensed Matter Physics

Keywords

topological insulators, Yu-Shiba-Rusinov states, the Dirac equation, edge states, boundary effects, band inversion

Abstract

The interplay of superconductivity and magnetism has been a long-standing topic of interest since the discovery of superconductivity. In recent years it has been shown that topological superconductivity, which has promising applications such as in topological quantum computing, could result from such interplay. Motivated by the later results I study the effect of magnetic impurities in superconducting doped topological insulators, such as Iron based topological superconductors. I show that topological character of parent materials could lead to modifications in the structure of magnetic impurity induced in-gap states. Moreover, the superconductivity induced interaction between magnetic impurities in doped topological insulator would be dependent on the doping level and could become longer ranged for specific doping level. Finally, I discuss strong modification in the spectrum of state localized close to magnetic impurities as they get close to the boundary of the sample.

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